Parameter Estimation of Multi Frequency-Hopping Signals Based on Atomic Norm

Abstract

According to the mismatch problem between the dictionary and signals in existing parameter estimation method of multi frequency-hopping signals, a method is proposed to estimate the time-frequency parameters based on atomic norm. Firstly, we define the infinite atom set with established atomic norm minimization model, and then use its dual problem to estimate the signal. Finally, the signal frequency is estimated based on the absolute value of the dual polynomial on the unit circle meanwhile transition moment of the signal is estimated by calculating number of the frequency components. The simulation results show that the algorithm can obtain higher estimation accuracy and performance than the existing algorithms under the condition of multiple frequency hopping signals.